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K3Carpets :: carpetDet

carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Synopsis

Description

We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.

i1 : a=4,b=4

o1 = (4, 4)

o1 : Sequence
i2 : d=carpetDet(a,b)
     -- 0.0114005 seconds elapsed
     -- 0.0157209 seconds elapsed
(number Of blocks, 26)
     -- 0.000186642 seconds elapsed
1
     -- 0.000142037 seconds elapsed
1
     -- 0.000138263 seconds elapsed
1
     -- 0.000193411 seconds elapsed
1
     -- 0.000138774 seconds elapsed
2
     -- 0.000135751 seconds elapsed
 2
2
     -- 0.000153359 seconds elapsed
 2
2
     -- 0.00017401 seconds elapsed
 2
2 3
     -- 0.000153602 seconds elapsed
 2
2 3
     -- 0.00015616 seconds elapsed
 2
2 3
     -- 0.000150292 seconds elapsed
 2
2
     -- 0.000178877 seconds elapsed
 2
2
     -- 0.000175848 seconds elapsed
2
     -- 0.000150156 seconds elapsed
2
     -- 0.000225539 seconds elapsed
 2
2
     -- 0.000130613 seconds elapsed
 2
2
     -- 0.000730275 seconds elapsed
 2
2 3
     -- 0.000156406 seconds elapsed
 2
2 3
     -- 0.000202762 seconds elapsed
 2
2 3
     -- 0.000294149 seconds elapsed
 2
2
     -- 0.000185247 seconds elapsed
 2
2
     -- 0.000251737 seconds elapsed
2
     -- 0.000216533 seconds elapsed
1
     -- 0.000154419 seconds elapsed
1
     -- 0.000153201 seconds elapsed
1
     -- 0.000154285 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :